Chapter 2, Problem 49E

From a standstill, you begin jogging at 5 m/s directly toward the galaxy Centaurus A, which is on the horizon $2\times {10}^{23}$m away.
(a) There is a clock in Centaurus A. According to you, how will readings on this clock differ before and after you begin jogging? (Remember: You change frames.)
(b) The planet Neptune is between Earth and Centaurus A, $4.5\times {10}^{9}m$ from Earth. How much would readings on a clock there differ?
(c) What would be the time differences if you had instead begun jogging in the opposite direction?
(d) What do these results tell you about the observations of a traveling twin who accelerates toward his Earth−bound twin? How do these observations depend on the distance between the twins?